4013431144400 has 60 divisors (see below), whose sum is σ = 9642735504000. Its totient is φ = 1605294675840.

The previous prime is 4013431144369. The next prime is 4013431144403. The reversal of 4013431144400 is 44411343104.

It is a super-2 number, since 2×4013431144400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013431144403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8407331 + ... + 8871869.

It is an arithmetic number, because the mean of its divisors is an integer number (160712258400).

Almost surely, 2^{4013431144400} is an apocalyptic number.

4013431144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013431144400 is an abundant number, since it is smaller than the sum of its proper divisors (5629304359600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4013431144400 is a wasteful number, since it uses less digits than its factorization.

4013431144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486156 (or 486145 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4013431144400 its reverse (44411343104), we get a palindrome (4057842487504).

The spelling of 4013431144400 in words is "four trillion, thirteen billion, four hundred thirty-one million, one hundred forty-four thousand, four hundred".